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Finding the Fourth Proportional to 105,484.73, 145,568.66 and 57,737.66

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Solution

The fourth proportional to 105,484.73, 145,568.66 and 57,737.66 is: 79,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,484.73 : 145,568.66 = 57,737.66 : x
  2. Step 2: Convert to fraction form
    105,484.73/145,568.66 = 57,737.66/x
  3. Step 3: Cross multiply
    105,484.73x = 145,568.66 × 57,737.66
  4. Step 4: Simplify right side
    105,484.73x = 8,404,792,781.20
  5. Step 5: Solve for x
    x = 8,404,792,781.20/105,484.73
  6. Step 6: Final answer
    x = 79,677.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.